Back to Search
Start Over
3D Bosons and W1+∞ algebra.
- Source :
- Journal of High Energy Physics; May2023, Vol. 2023 Issue 5, p1-28, 28p
- Publication Year :
- 2023
-
Abstract
- In this paper, we consider 3D Young diagrams with at most N layers in z-axis direction, which can be constructed by N 2D Young diagrams on slice z = j, j = 1, 2, · · · , N from the Yang-Baxter equation. Using 2D Bosons {a<subscript>j,m</subscript>, m ∈ ℤ} associated to 2D Young diagrams on the slice z = j, we constructed 3D Bosons. Then we show the 3D Boson representation of W<subscript>1+∞</subscript> algebra, and give the method to calculate the Littlewood-Richardson rule for 3-Jack polynomials. [ABSTRACT FROM AUTHOR]
- Subjects :
- BOSONS
YANG-Baxter equation
REPRESENTATIONS of algebras
ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 11266708
- Volume :
- 2023
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- Journal of High Energy Physics
- Publication Type :
- Academic Journal
- Accession number :
- 164403801
- Full Text :
- https://doi.org/10.1007/JHEP05(2023)174